Home
Class 12
MATHS
If a(1), a(2), a(3)…, a(n) are in G.P., ...

If `a_(1), a_(2), a_(3)…, a_(n)` are in G.P., then the value of the determinant `D=|("log"a_(n),"log"a_(n+1),"log"a_(n+2)),("log"a_(n+3),"log"a_(n+4),"log"a_(n+5)),("log"a_(n+6),"log"a_(n+7),"log"a_(n+8))|` is -

A

0

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If a_1,a_2,a_3,.....a_n.... are in G.P. then the determinant Delta=|[log a_n, log a_(n+1), log a_(n+2)],[log a_(n+3),loga_(n+4),log a_(n+5)],[log a_(n+6),log a_(n+7),log a_(n+8)]| is equal to- (A) -2 (B) 1 (C) -1 (D) 0

If a_(n)( gt 0) be the n^(th) term of a G.P. then |(log a_(n), log a_(n+1), log a_(n+2)),(log a_(n+3), loga_(n+4),log a_(n+5)),(log a_(n+6),log a_(n+7), log a_(n+8))| is equal to

If A_(1), A_(2),..,A_(n) are any n events, then

If a_(1), a_(2) , a_(3),…,a _(n+1) are in A. P. then the value of (1)/(a _(1)a_(2))+(1)/(a_(2)a_(3))+(1)/(a_(3)a_(4))+...+(1)/(a_(n)a_(n+1)) is-

If log2,log(2^n-1) and log(2^n+3) are in A.P. then n =

If a_(1), a_(2), a_(3), …., a_(n) are in H.P., prove that, a_(1)a_(2) + a_(2)a_(3) + a_(3)a_(4) +…+ a_(n-1)a_(n) = (n-1)a_(1)a_(n)

If a_(1), a_(2), a_(3),…, a_(n) be in A.P. Show that, (1)/(a_(1)a_(2)) + (1)/(a_(2)a_(3)) +….+(1)/(a_(n-1)a_(n)) = (n-1)/(a_(1)a_(n))

If positive integers a_(1), a_(2), a_(3),… are ion A.P. such that a_(8) +a_(10) =24, then the value of a_(9) is-

If a_(1) = 2 and a_(n) - a_(n-1) = 2n (n ge 2) , find the value of a_(1) + a_(2) + a_(3)+…+a_(20) .

If a_(1) ge 0 for all t and a_(1), a_(2), a_(3),….,a_(n) are in A.P. then show that, (1)/(a_(1)a_(3)) + (1)/(a_(3)a_(5)) +...+ (1)/(a_(2n-1).a_(2n+1)) = (n)/(a_(1)a_(2n+1))

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

    Text Solution

    |

  2. For any matrix A, if A^(-1) exists then which of the following is not ...

    Text Solution

    |

  3. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

    Text Solution

    |

  4. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

    Text Solution

    |

  5. If C is the midpoint of AB and P is any point outside AB, then which o...

    Text Solution

    |

  6. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

    Text Solution

    |

  7. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

    Text Solution

    |

  8. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  9. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  10. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  11. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  12. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |

  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

    Text Solution

    |

  14. A real valued function f(x) stisfies the functional relation f(x-y)=f(...

    Text Solution

    |

  15. The probability of having a king and a queen when two cards are drawn ...

    Text Solution

    |

  16. A, B, C are mutually exclusive events such that P(A)=(3x+1)/(3),P(B)...

    Text Solution

    |

  17. The chance of throwing a total of 7 or 12 with two dice is -

    Text Solution

    |

  18. If A and B are two events, then the probability that one and only one ...

    Text Solution

    |

  19. If A and B are two events and P(A cup B)=(5)/(6), P(A cap B)=(1)/(3) a...

    Text Solution

    |

  20. If two fair coins are tossed together 5 times, then the probability o...

    Text Solution

    |